Exponential passive filtering for a class of nonlinear jump systems

The exponential passive filtering problem for a class of nonlinear Markov jump systems with uncertainties and time-delays is studied. The uncertain parameters are assumed unknown but norm bounded, and the nonlinearities satisfy the quadratic condition. Based on the passive filtering theory, the sufficient condition for the existence of the mode-dependent passive filter is given by analyzing the reconstructed observer system. By using the appropriate Lyapnnov-Krasovskii function and applying linear matrix inequalities, the design scheme of the passive filter is derived and described as an optimization one. The presented exponential passive filter makes the error dynamic systems exponentially stochastically stable for all the admissible uncertainties, time-delays and nonlinearities, has the better abilities of state tracking and satisfies the given passive norm index. Simulation results demonstrate the validity of the proposed approach.

De-correlated unbiased sequential filtering based on best unbiased linear estimation for target tracking in Doppler radar

In target tracking applications,the Doppler measurement contains information of the target range rate,which has the potential capability to improve the tracking performance.However,the nonlinear degree between the measurement and the target state increases with the introduction of the Doppler measurement.Therefore,target tracking in the Doppler radar is a nonlinear filtering problem.In order to handle this problem,the Kalman filter form of best linear unbiased estimation(BLUE)with position measurements is proposed,which is combined with the sequential filtering algorithm to handle the Doppler measurement further,where the statistic characteristic of the converted measurement error is calculated based on the predicted information in the sequential filter.Moreover,the algorithm is extended to the maneuvering target tracking case,where the interacting multiple model(IMM)algorithm is used as the basic framework and the model probabilities are updated according to the BLUE position filter and the sequential filter,and the final estimation is a weighted sum of the outputs from the sequential filters and the model probabilities.Simulation results show that compared with existing approaches,the proposed algorithm can realize target tracking with preferable tracking precision and the extended method can achieve effective maneuvering target tracking.

Reduced-order Kalman filtering for state constrained linear systems

This paper aims at solving the state filtering problem for linear systems with state constraints. Three classes of typical state constraints, i.e., linear equality, quadratic equality and inequality, are discussed. By using the linear relationships among different state variables, a reduced-order Kalman filter is derived for the system with linear equality constraints. Afterwards, such a solution is applied to the cases of the quadratic equality constraint and inequality constraints and the two constrained state filtering problems are transformed into two relative constrained optimization problems. Then they are solved by the Lagrangian multiplier and linear matrix inequality techniques, respectively. Finally, two simple tracking examples are provided to illustrate the effectiveness of the reduced-order filters.

Robust Sliding-mode Filtering for a Class of Uncertain Nonlinear Discrete-time State-delayed Systems

This paper is concerned with the problem of robust sliding-mode filtering for a class of uncertain nonlinear discrete-time systems with time-delays. The nonlinearities are assumed to satisfy global Lipschitz conditions and parameter uncertainties are supposed to reside in a polytope. The resulting filter is of the Luenberger type with the discontinuous form. A sufficient condition with delay-dependency is proposed for existence of such a filter. And the desired filter can be found by solving a set of matrix inequalities. The resulting filter adapts for the systems whose noise input is real functional bounded and not be required to be energy bounded. A numerical example is given to illustrate the effectiveness of the proposed design method.

Neural network-based H∞ filtering for nonlinear systems with time-delays

A novel H∞ design methodology for a neural network-based nonlinear filtering scheme is addressed. Firstly, neural networks are employed to approximate the nonlinearities. Next, the nonlinear dynamic system is represented by the mode-dependent linear difference inclusion （LDI）. Finally, based on the LDI model, a neural network-based nonlinear filter （NNBNF） is developed to minimize the upper bound of H∞ gain index of the estimation error under some linear matrix inequality （LMI） constraints. Compared with the existing nonlinear filters, NNBNF is time-invariant and numerically tractable. The validity and applicability of the proposed approach are successfully demonstrated in an illustrative example.

Krein space approach to robust H_∞ filtering for linear uncertain systems

A novel Krein space approach to robust H∞ filtering for linear uncertain systems is developed. The parameter uncertainty, entering into both states and measurement equations, satisfies an energy-type constraint. Then a Krein space approach is used to tackle the robust H∞ filtering problem. To this end, a new Krein space formal system is designed according to the original sum quadratic constraint （SQC） without introducing any nonzero factors into it and, consequently, the estimate recursion is obtained through the filter gain in Krein space. Finally, a numerical example is given to demonstrate the effectiveness of the proposed approach.

Nonlinear H_∞ filtering for interconnected Markovian jump systems

The problem of nonlinear H∞ filtering for interconnected Markovian jump systems is discussed. The aim of this note is the design of a nonlinear Markovian jump filter such that the resulting error system is exponentially meansquare stable and ensures a prescribed H∞ performance. A sufficient condition for the solvability of this problem is given in terms of linear matrix inequalities（LMIs）. A simulation example is presented to demonstrate the effectiveness of the proposed design approach.

Mode-Dependent Finite-Time <i>H</i>_∞Filtering for Stochastic Nonlinear Systems with Markovian Switching

This paper addresses the problem of finite-time H∞ filter design for a class of non-linear stochastic systems with Markovian switching. Based on stochastic differential equations theory, a mode-dependent finite-time H∞ filter is designed to ensure finite-time stochastic stablility (FTSS) of filtering error system and satisfies a prescribed H∞ performance level in some given finite-time intervals. Moreover, sufficient conditions are presented for the existence of a finite-time H∞ filter for the stochastic system under consideration by employing the linear matrix inequality technique. Finally, the explicit expression of the desired filter parameters is given.

Filtering Function Method for the Cauchy Problem of a Semi-Linear Elliptic Equation

A Cauchy problem for the semi-linear elliptic equation is investigated. We use a filtering function method to define a regularization solution for this ill-posed problem. The existence, uniqueness and stability of the regularization solution are proven;a convergence estimate of H?lder type for the regularization method is obtained under the a-priori bound assumption for the exact solution. An iterative scheme is proposed to calculate the regularization solution;some numerical results show that this method works well.

Network-Based H_∞ Filtering for Linear Systems with Randomly Varying Sensor Delay

An H∞ filter design for linear time delay system with randomly varying sensor delay is investigated.The delay considered here is assumed to satisfy a certain stochastic characteristic.A stochastic variable satisfying Bernoulli random binary distribution is introduced and a new system model is established by employing the measurements with random delay.By using the linear matrix inequality(LMI) technique,sufficient conditions are derived for ensuring the mean-square stochastic stability of the filtering error systems and guaranteeing a prescribed H∞ filtering performance.Finally,a numerical example is given to demonstrate the effectiveness of the proposed approach.

基于最优控制理论的国产光抽运小铯钟频率控制算法

原子钟频率控制是时间保持工作中的关键技术.当前守时工作中的频率控制主要针对国外微波钟采用开环控制算法,但由于国产光抽运小铯钟(下称国产钟)的工作原理和性能不同于国外同类型原子钟,因此该算法不能很好适应国产钟.为了提升我国标准时间的自主性和安全性,本文基于国产钟的噪声特性,在最优控制理论的框架下研究了线性二次高斯控制算法,该算法属于闭环控制算法,从同步时间、频率控制准确度和频率控制稳定度方面研究国产钟性能,最后分析了不同控制间隔对国产钟性能的影响.结果表明随着二次损失函数中约束矩阵W_(R)的增大,同步时间延长,控制准确度降低,控制短期稳定度提高.W_(R)相同情况下,随着控制间隔的增大,同步时间延长,控制准确度降低,控制短期稳定度提高,对于W_(R)=1时,控制间隔为1 h的同步时间为5小时,控制准确度为1.83 ns,1 h的Allan偏差为1.81×10^(-13);控制间隔为8 h的同步时间为28 h,控制准确度为4.48 ns,1 h的Allan偏差为1.48×10^(-13).控制国产光抽运小铯钟的中长期稳定度都得到提高.

基于扩展卡尔曼滤波的直线感应电机速度观测

为解决在直线感应电机(linear induction motor,LIM)高性能闭环控制系统取消速度传感器后,速度闭环中缺少速度反馈信息问题,在考虑LIM边端效应前提下,实现了一种基于扩展卡尔曼滤波算法的速度观测器。首先,基于考虑边端效应的三相LIM数学模型,推导出具有合适增益和协方差更新矩阵的扩展卡尔曼滤波观测器,并基于LIM的矢量控制系统,将观测器辨识的速度参数反馈到速度闭环系统中。然后,在Simulink中搭建带有速度观测器的LIM矢量控制系统模型,对观测器的辨识速度和电机实际速度进行对比。结果表明,利用辨识速度进行闭环控制可以保证系统稳定运行。在3种负载情况下,观测器的预测速度和实际速度之间的误差在0.51%~2.34%之间。对系统多种动态性能进行分析可知,基于扩展卡尔曼滤波观测器的LIM矢量控制系统,随着负载增大,预测速度的误差增大,推力误差减小,磁链幅值误差略微增大。因此,在考虑边端效应情况下,基于扩展卡尔曼滤波的观测器可以代替速度传感器实现空载和带载时的三相LIM控制。

基于sigmoid滤波器的永磁轮毂电机自抗扰控制

相比燃油拖拉机,电动拖拉机具有节能高效、绿色清洁的优点。分布式驱动电动拖拉机结构简单、控制维度多,能进一步提高电动拖拉机的工作效率和作业精度。但是电机检测转速噪声导致轮毂电机速度波动严重,复杂路面及多种作业工况下进一步加剧了上述问题,严重降低了拖拉机的作业质量。针对上述问题,该研究提出一种基于sigmoid滤波器的线性自抗扰控制(linear active disturbance rejection control,LADRC)以提高轮毂电机的转速稳定性和抗扰动能力。该控制策略在传统LADRC的基础上引入sigmoid滤波器至扩张状态观测器(extended state observer,ESO),根据输入噪声信号误差变化改变滤波器带宽,以抑制观测误差中的中高频干扰信号,同时避免滤波器积分环节对轮毂电机速度跟踪快速性的影响,具有较快的收敛性。搭建试验平台对所提出控制策略进行试验验证,结果表明:与传统LADRC策略相比,本文所提控制策略在变速和变载工况下的转速脉动分别减小了32%和41.67%,iq电流脉动分别减小了6.25%和4.17%,可在快速、准确跟踪给定转速的同时,大幅提高轮毂电机驱动系统的噪声抑制性能,为复杂环境下电动拖拉机高精度作业提供技术参考。

基于自适应分布式滤波观测器的多智能体系统编队控制

本文考虑了全局指令系统输出信息受到信道扰动情况下线性多智能体系统的编队控制问题.首先,基于协作式输出调节理论框架对线性多智能体系统的编队控制问题进行数学建模.其次,针对受到信道扰动的全局指令系统输出信息,提出了一类基于受扰输出的自适应分布式滤波观测器,在降低网络信息交换量的同时消除扰动的影响.最后,设计了输出反馈确定等价控制律,解决了线性多智能体系统的分布式编队控制问题.给出了数值仿真结果检验控制性能.

基于多尺度梯度域引导滤波的煤矿井下图像增强方法

煤矿井下图像存在较严重的光照不均匀和噪声干扰,现有基于Retinex的方法直接应用于煤矿井下图像增强易出现光晕伪影、边缘模糊、过增强和噪声放大等问题。针对上述问题,提出了一种基于多尺度梯度域引导滤波的煤矿井下图像增强方法。首先,将多尺度思想引入梯度域引导滤波中,实现对非均匀光照的准确估计,有效解决了增强图像时光晕伪影及边缘模糊的问题。然后,利用Retinex模型分离出光照分量和反射分量:对于光照分量,通过自适应伽马校正函数逐像素地修正光照信息,实现对图像暗区域增强的同时,抑制亮区域过增强,并使用限制对比度自适应直方图均衡化方法调整图像对比度;对于反射分量,将梯度域引导滤波与多尺度细节提升相结合,在准确去除噪声后提升纹理细节,避免了增强图像时噪声放大的问题。最后,将处理后的光照分量及反射分量融合,计算图像增益系数,并使用线性色彩恢复方法实现对原始RGB图像的逐像素增强,提升方法处理效率。实验结果表明,从主客观角度与现有方法相比,经所提方法处理后的图像在色彩保持、对比度、噪声抑制、细节保留等方面均取得了较好的增强效果,同时处理效率较高。

基于直线段检测和LT描述符的矿井图像线特征匹配算法

图像匹配是同步定位与地图构建(SLAM)技术中极为重要的一环,用于根据图像之间的变换关系确定相机位姿。基于线特征的图像匹配方法具有较强的鲁棒性和抗噪能力,更加适用于井下图像匹配,基于深度学习的线描述符对线段遮挡等场景具有较高的鲁棒性,性能优于传统描述符,但卷积神经网络架构的描述符将可变长度线段抽象为固定维进行描述,不利于线段长度及视差变化较大图像的匹配。针对上述问题,提出一种基于直线段检测和线描述符的矿井图像线特征匹配算法。在频域利用单参数同态滤波降低图像的照射分量,并增强反射分量,提升亮度及对比度;在YUV空间利用对比度受限的自适应直方图均衡化(CLAHE)算法对亮度分量进行均衡,使亮度分布更加均匀;变换至RGB空间提取直线段检测(LSD)线,引入一种基于Transformer架构的LT描述符构建LSD线的特征向量,最后完成线特征匹配。实验结果表明:该算法结合了同态滤波和CLAHE算法的优点,增强后图像的亮度适中,对比度良好,灰度分布均匀,增强效果优于单参数同态滤波算法、EnlightenGAN算法;该算法提取的线特征数较原图平均提升了32.92%,在不同相似纹理占比、不同程度旋转与平移变化的井下图像匹配中鲁棒性好,平均正确匹配数为61.75对,平均精度为86.83%,优于线二进制描述符(LBD)算法、LBD_NNDR算法、LT算法,能够满足矿井图像稳健匹配的需求。

基于视觉自注意力模型与轨迹滤波器的篮球战术识别

通过机器学习分析球员轨迹数据获得进攻或防守战术,是篮球视频内容理解的关键组成部分。传统机器学习方法需要人为设定特征变量,灵活性大大降低,因此如何自动获取可用于战术识别的特征信息成为关键问题。为此,该文基于美国职业篮球联赛(NBA)比赛中球员轨迹数据设计了一个篮球战术识别模型(TacViT),该模型以视觉自注意力模型(ViT)作为主干网络,利用多头注意力模块提取丰富的全局轨迹特征信息,同时并入轨迹滤波器来加强球场线与球员轨迹之间的特征信息交互,增强球员位置特征表示,其中轨迹滤波器以对数线性复杂度学习频域中的长期空间相关性。该文将运动视觉系统(SportVU)的序列数据转化为轨迹图,自建篮球战术数据集(PlayersTrack),在该数据集上的实验表明,TacViT的准确率达到了82.5%,相对未做更改的视觉自注意力S模型(ViT-S),精度上提升了16.7%。

基于成像光谱仪的光亮度精确测量方法研究

为了快速精确测量平板显示器的光亮度,采用基于线性渐变滤光片的成像光谱仪进行了理论分析和实验验证,讨论了以线性渐变滤光片为核心的成像光谱仪的原理、结构及应用特点,建立了光源光亮度-输出灰度值的数学转换模型,以及基于LED积分球光源和分光光谱辐射亮度计的成像光谱仪光谱定标与辐射定标装置,得到了目标的光谱立方体数据,并计算出目标各点的绝对光谱功率分布曲线。结果表明,测量显示屏的相对示值误差小于3%,达到了国标光亮度测量所规定的一级测量精度要求,实现了对面光源光亮度的快速精确测量。该研究为优化显示器行业的质量控制和产品调控提供了有利参考。

基于模糊扩展卡尔曼的直线感应电机无速度传感器控制

直线感应电机(linear induction motor,LIM)可实现无接触、无摩擦的直线运动,具有爬坡强、横断面小、低噪音等优势,在中低速磁悬浮与城市轨道交通中被广泛应用。其中,基于观测器的电机无速度传感器矢量控制方法,是解决速度传感器成本高、可靠性低、维护难等问题的有效途径。针对LIM速度辨识受系统内外扰动影响导致观测精度下降问题,提出基于模糊扩张卡尔曼滤波(Fuzzy Extended Kalman Filter,FEKF)的速度观测方法,提高观测器鲁棒性。首先在αβ坐标系下建立考虑动态边端效应的LIM数学模型,利用LIM的实时电流和电压作为输入信号,以电流、磁链和速度作为状态变量,推导出基于扩展卡尔曼滤波(extended kalman filter,EKF)观测器电机状态空间方程的离散模型,利用EKF对LIM的速度和磁链进行在线观测,并用于实现LIM的矢量控制。其次,为提高EKF的噪声协方差矩阵Q对LIM系统内外扰动的鲁棒性,引入模糊控制方法对矩阵Q进行自适应调整,实现速度与磁链的估计精度。具体通过计算系统理论残差与实际残差的偏离程度得到噪声调节因子,实时调整噪声协方差矩阵Q,并在下一周期更新模糊扩展卡尔曼的反馈增益矩阵,提高对速度与磁链的估计精度。之后对系统的能观性与FEKF的收敛性进行分析,探明矩阵Q中各参数的边界及整定规律。最后通过仿真和硬件在环实验验证所提FEKF优化算法的有效性,结果表明FEKF能有效提高对LIM速度辨识准确性,实现LIM无速度传感器矢量控制。

基于最佳线性无偏预测的精密单点定位方法

卫星导航定位中,卡尔曼滤波是快速处理海量观测数据,精确解算位置坐标的常用方法。为解决实际定位解算时需要计算部分参数的近似值作为先验信息的问题,引入最佳线性无偏预测理论对无先验信息的参数初值进行估计并使用其残差方差代替未知的先验方差参与计算。在静态和动态情形下进行了非差非组合精密单点定位实验并与传统滤波方法进行对比。算例结果表明,基于最佳线性无偏预测的精密单点定位算法可以对无先验信息的参数估计初值和方差信息,且定位精度与卡尔曼滤波一致。